Storage after the Tour

I'm doing the European Contrasts Tour May 6. I'll be arriving back in London June 5 but I am planning to do some more traveling afterwards- Greece, Spain, Portugal etc. Since I am flying with discount airlines like RyanAir who have bad weight restrictions I was wondering what the situation is with renting a storage space in the Contiki basement after the tour so I don't have to lug everything I don't need all over the place. If I am flying out of London a few weeks later will it be a problem to rent a storage space?